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Finding the Third Proportional to 690,410 and 932,787

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Solution

The third proportional to 690,410 and 932,787 is: 1,260,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,410 : 932,787 = 932,787 : x
  2. Step 2: Convert to fraction form
    690,410/932,787 = 932,787/x
  3. Step 3: Cross multiply
    690,410x = 932,787 × 932,787
  4. Step 4: Simplify right side
    690,410x = 870,091,587,369
  5. Step 5: Solve for x
    x = 870,091,587,369/690,410
  6. Step 6: Final answer
    x = 1,260,253.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.